Book contents
- Frontmatter
- Contents
- Preface
- Acknowledgements
- Part I Lectures on Basics with Examples
- Part II Further Contributions to Matrix Theory
- 12 LU (Spectral) Factorization
- 13 Matrix Schur Interpolation
- 14 The Scattering Picture
- 15 Constrained Interpolation
- 16 Constrained Model Reduction
- 17 Isometric Embedding for Causal Contractions
- Appendix: Data Model and Implementations
- References
- Index
16 - Constrained Model Reduction
from Part II - Further Contributions to Matrix Theory
Published online by Cambridge University Press: 24 October 2024
Book contents
- Frontmatter
- Contents
- Preface
- Acknowledgements
- Part I Lectures on Basics with Examples
- Part II Further Contributions to Matrix Theory
- 12 LU (Spectral) Factorization
- 13 Matrix Schur Interpolation
- 14 The Scattering Picture
- 15 Constrained Interpolation
- 16 Constrained Model Reduction
- 17 Isometric Embedding for Causal Contractions
- Appendix: Data Model and Implementations
- References
- Index
Summary
This chapter provides for a further extension of constrained interpolation that is capable of solving the constrained model reduction problem, namely the generalization of Schur–Takagi-type interpolation to the time-variant setting. This remarkable result demonstrates the full power of time-variant system theory as developed in this book.
- Type
- Chapter
- Information
- Time-Variant and Quasi-separable SystemsMatrix Theory, Recursions and Computations, pp. 254 - 276Publisher: Cambridge University PressPrint publication year: 2024